An Effective Model for Crumpling in Two Dimensions?

Abstract

We investigate the crumpling transition for a dynamically triangulated random surface embedded in two dimensions using an effective model in which the disordering effect of the $X$ variables on the correlations of the normals is replaced by a long-range ``antiferromagnetic'' term. We compare the results from a Monte Carlo simulation with those obtained for the standard action which retains the $X$'s and discuss the nature of the phase transition.

5 pages

References in corpus (2)

• Multiple Potts Models Coupled to Two-Dimensional Quantum Gravity
• A Numerical Test of KPZ Scaling: Potts Models Coupled to Two-Dimensional Quantum Gravity

Cited by in corpus (1)

• Classical dynamics of rigid string from Willmore functional